A solvable tensor field theory

2019/03/31 by Romain Pascalie · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Beta function (physics) #Complex system #Experimental and Theoretical Physics Studies #Field (mathematics) #Field theory (psychology) #Mathematics and Applications #Quartic function #Sports Dynamics and Biomechanics #Symmetric tensor #Tensor (intrinsic definition) #Tensor field #hep-th #math-ph #math.MP

paper · pdf · open access · doi:10.1007/s11005-019-01245-0

published in Letters in Mathematical Physics 110(5), 925-943 (Springer Science+Business Media) · 16 pages, 3 figures, v2: comments added. arXiv admin note: text overlap with arXiv:1810.09867

openalex created_date 2019/03/22 · openalex publication_date 2019/12/03 · arxiv created 2020/07/30 · arxiv updated 2020/08/03 · openalex updated_date 2026/08/06

Abstract

We solve the closed Schwinger-Dyson equation for the 2-point function of a tensor field theory with a quartic melonic interaction, in terms of Lambert's W-function, using a perturbative expansion and Lagrange-Bürmann resummation. Higher-point functions are then obtained recursively.

Citations

• On the large N limit of the Schwinger-Dyson equation of tensor field theory
• Tensorial Methods and Renormalization in Group Field Theories
• Colored Group Field Theory
• On the LambertW function
• Comments on the Sachdev-Ye-Kitaev model
• Towards background independent quantum gravity with tensor models